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During the construction of a highway bridge, the average permanent load on the clay layer is expected to increase by about 95 kN/m3. The average effective overburden pressure at the middle of the clay layer is 190 kN/m3. Here, H is 4.5 m, Compression index is 0.26, e0 = 0.78, and coefficient of consolidation is 0.23 m2/month. The clay is normally consolidated. Determine the total primary consolidation settlement (in mm) and the ratio of pre-compression pressure to the effective stress of the bridge.
- a)0.11 and 0.40
- b)12 and 45
- c)0.12 and 0.50
- d)115 and 0.50
Correct answer is option 'C'. Can you explain this answer?
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Verified Answer
During the construction of a highway bridge, the average permanent loa...
The total primary consolidation settlement will be calculated as
On substituting the values in above equation Sp = 0.115m = 115mm
Ratio of pre-compression pressure to the effective stress is
Most Upvoted Answer
During the construction of a highway bridge, the average permanent loa...
To determine the total primary consolidation settlement and the ratio of pre-compression pressure to the effective stress of the bridge, we can follow these steps:
1. Determine the initial void ratio (e0) and compression index (Cc):
Given that the compression index (Cc) is 0.26 and the initial void ratio (e0) is 0.78.
2. Calculate the final void ratio (e):
The final void ratio (e) can be determined using the equation:
e = e0 + Δe
where Δe is the change in void ratio due to the increase in load.
3. Calculate the change in effective stress (Δσ):
The change in effective stress (Δσ) can be calculated using the equation:
Δσ = Δp
where Δp is the increase in load.
4. Calculate the consolidation settlement (S):
The consolidation settlement (S) can be determined using the equation:
S = (Δσ) / (Cc * H)
5. Calculate the pre-compression pressure (Pc):
The pre-compression pressure (Pc) can be calculated using the equation:
Pc = σc - Δσ
where σc is the initial effective stress.
6. Calculate the ratio of pre-compression pressure to effective stress (Pc/σ):
The ratio of pre-compression pressure to effective stress can be determined using the equation:
Pc/σ = Pc / σ
Now let's calculate the values:
Given:
Δp = 95 kN/m3
H = 4.5 m
Cc = 0.26
e0 = 0.78
σc = 190 kN/m3
Using the equations mentioned above:
Δσ = Δp = 95 kN/m3
e = e0 + Δe = 0.78 + 0.26 * 4.5 = 1.98
S = (Δσ) / (Cc * H) = (95) / (0.26 * 4.5) = 84.35 mm
Pc = σc - Δσ = 190 - 95 = 95 kN/m3
Pc/σ = Pc / σc = 95 / 190 = 0.5
Therefore, the total primary consolidation settlement is 84.35 mm and the ratio of pre-compression pressure to the effective stress of the bridge is 0.5. Hence, the correct answer is option C: 0.12 and 0.50.
1. Determine the initial void ratio (e0) and compression index (Cc):
Given that the compression index (Cc) is 0.26 and the initial void ratio (e0) is 0.78.
2. Calculate the final void ratio (e):
The final void ratio (e) can be determined using the equation:
e = e0 + Δe
where Δe is the change in void ratio due to the increase in load.
3. Calculate the change in effective stress (Δσ):
The change in effective stress (Δσ) can be calculated using the equation:
Δσ = Δp
where Δp is the increase in load.
4. Calculate the consolidation settlement (S):
The consolidation settlement (S) can be determined using the equation:
S = (Δσ) / (Cc * H)
5. Calculate the pre-compression pressure (Pc):
The pre-compression pressure (Pc) can be calculated using the equation:
Pc = σc - Δσ
where σc is the initial effective stress.
6. Calculate the ratio of pre-compression pressure to effective stress (Pc/σ):
The ratio of pre-compression pressure to effective stress can be determined using the equation:
Pc/σ = Pc / σ
Now let's calculate the values:
Given:
Δp = 95 kN/m3
H = 4.5 m
Cc = 0.26
e0 = 0.78
σc = 190 kN/m3
Using the equations mentioned above:
Δσ = Δp = 95 kN/m3
e = e0 + Δe = 0.78 + 0.26 * 4.5 = 1.98
S = (Δσ) / (Cc * H) = (95) / (0.26 * 4.5) = 84.35 mm
Pc = σc - Δσ = 190 - 95 = 95 kN/m3
Pc/σ = Pc / σc = 95 / 190 = 0.5
Therefore, the total primary consolidation settlement is 84.35 mm and the ratio of pre-compression pressure to the effective stress of the bridge is 0.5. Hence, the correct answer is option C: 0.12 and 0.50.
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During the construction of a highway bridge, the average permanent load on the clay layer is expected to increase by about 95 kN/m3. The average effective overburden pressure at the middle of the clay layer is 190 kN/m3. Here, H is 4.5 m, Compression index is 0.26, e0 = 0.78, and coefficient of consolidation is 0.23 m2/month. The clay is normally consolidated. Determine the total primary consolidation settlement (in mm) and the ratio of pre-compression pressure to the effective stress of the bridge.a)0.11 and 0.40b)12 and 45c)0.12 and 0.50d)115 and 0.50Correct answer is option 'C'. Can you explain this answer?
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During the construction of a highway bridge, the average permanent load on the clay layer is expected to increase by about 95 kN/m3. The average effective overburden pressure at the middle of the clay layer is 190 kN/m3. Here, H is 4.5 m, Compression index is 0.26, e0 = 0.78, and coefficient of consolidation is 0.23 m2/month. The clay is normally consolidated. Determine the total primary consolidation settlement (in mm) and the ratio of pre-compression pressure to the effective stress of the bridge.a)0.11 and 0.40b)12 and 45c)0.12 and 0.50d)115 and 0.50Correct answer is option 'C'. Can you explain this answer? for GATE 2024 is part of GATE preparation. The Question and answers have been prepared according to the GATE exam syllabus. Information about During the construction of a highway bridge, the average permanent load on the clay layer is expected to increase by about 95 kN/m3. The average effective overburden pressure at the middle of the clay layer is 190 kN/m3. Here, H is 4.5 m, Compression index is 0.26, e0 = 0.78, and coefficient of consolidation is 0.23 m2/month. The clay is normally consolidated. Determine the total primary consolidation settlement (in mm) and the ratio of pre-compression pressure to the effective stress of the bridge.a)0.11 and 0.40b)12 and 45c)0.12 and 0.50d)115 and 0.50Correct answer is option 'C'. Can you explain this answer? covers all topics & solutions for GATE 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for During the construction of a highway bridge, the average permanent load on the clay layer is expected to increase by about 95 kN/m3. The average effective overburden pressure at the middle of the clay layer is 190 kN/m3. Here, H is 4.5 m, Compression index is 0.26, e0 = 0.78, and coefficient of consolidation is 0.23 m2/month. The clay is normally consolidated. Determine the total primary consolidation settlement (in mm) and the ratio of pre-compression pressure to the effective stress of the bridge.a)0.11 and 0.40b)12 and 45c)0.12 and 0.50d)115 and 0.50Correct answer is option 'C'. Can you explain this answer?.
During the construction of a highway bridge, the average permanent load on the clay layer is expected to increase by about 95 kN/m3. The average effective overburden pressure at the middle of the clay layer is 190 kN/m3. Here, H is 4.5 m, Compression index is 0.26, e0 = 0.78, and coefficient of consolidation is 0.23 m2/month. The clay is normally consolidated. Determine the total primary consolidation settlement (in mm) and the ratio of pre-compression pressure to the effective stress of the bridge.a)0.11 and 0.40b)12 and 45c)0.12 and 0.50d)115 and 0.50Correct answer is option 'C'. Can you explain this answer? for GATE 2024 is part of GATE preparation. The Question and answers have been prepared according to the GATE exam syllabus. Information about During the construction of a highway bridge, the average permanent load on the clay layer is expected to increase by about 95 kN/m3. The average effective overburden pressure at the middle of the clay layer is 190 kN/m3. Here, H is 4.5 m, Compression index is 0.26, e0 = 0.78, and coefficient of consolidation is 0.23 m2/month. The clay is normally consolidated. Determine the total primary consolidation settlement (in mm) and the ratio of pre-compression pressure to the effective stress of the bridge.a)0.11 and 0.40b)12 and 45c)0.12 and 0.50d)115 and 0.50Correct answer is option 'C'. Can you explain this answer? covers all topics & solutions for GATE 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for During the construction of a highway bridge, the average permanent load on the clay layer is expected to increase by about 95 kN/m3. The average effective overburden pressure at the middle of the clay layer is 190 kN/m3. Here, H is 4.5 m, Compression index is 0.26, e0 = 0.78, and coefficient of consolidation is 0.23 m2/month. The clay is normally consolidated. Determine the total primary consolidation settlement (in mm) and the ratio of pre-compression pressure to the effective stress of the bridge.a)0.11 and 0.40b)12 and 45c)0.12 and 0.50d)115 and 0.50Correct answer is option 'C'. Can you explain this answer?.
Solutions for During the construction of a highway bridge, the average permanent load on the clay layer is expected to increase by about 95 kN/m3. The average effective overburden pressure at the middle of the clay layer is 190 kN/m3. Here, H is 4.5 m, Compression index is 0.26, e0 = 0.78, and coefficient of consolidation is 0.23 m2/month. The clay is normally consolidated. Determine the total primary consolidation settlement (in mm) and the ratio of pre-compression pressure to the effective stress of the bridge.a)0.11 and 0.40b)12 and 45c)0.12 and 0.50d)115 and 0.50Correct answer is option 'C'. Can you explain this answer? in English & in Hindi are available as part of our courses for GATE.
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During the construction of a highway bridge, the average permanent load on the clay layer is expected to increase by about 95 kN/m3. The average effective overburden pressure at the middle of the clay layer is 190 kN/m3. Here, H is 4.5 m, Compression index is 0.26, e0 = 0.78, and coefficient of consolidation is 0.23 m2/month. The clay is normally consolidated. Determine the total primary consolidation settlement (in mm) and the ratio of pre-compression pressure to the effective stress of the bridge.a)0.11 and 0.40b)12 and 45c)0.12 and 0.50d)115 and 0.50Correct answer is option 'C'. Can you explain this answer?, a detailed solution for During the construction of a highway bridge, the average permanent load on the clay layer is expected to increase by about 95 kN/m3. The average effective overburden pressure at the middle of the clay layer is 190 kN/m3. Here, H is 4.5 m, Compression index is 0.26, e0 = 0.78, and coefficient of consolidation is 0.23 m2/month. The clay is normally consolidated. Determine the total primary consolidation settlement (in mm) and the ratio of pre-compression pressure to the effective stress of the bridge.a)0.11 and 0.40b)12 and 45c)0.12 and 0.50d)115 and 0.50Correct answer is option 'C'. Can you explain this answer? has been provided alongside types of During the construction of a highway bridge, the average permanent load on the clay layer is expected to increase by about 95 kN/m3. The average effective overburden pressure at the middle of the clay layer is 190 kN/m3. Here, H is 4.5 m, Compression index is 0.26, e0 = 0.78, and coefficient of consolidation is 0.23 m2/month. The clay is normally consolidated. Determine the total primary consolidation settlement (in mm) and the ratio of pre-compression pressure to the effective stress of the bridge.a)0.11 and 0.40b)12 and 45c)0.12 and 0.50d)115 and 0.50Correct answer is option 'C'. Can you explain this answer? theory, EduRev gives you an
ample number of questions to practice During the construction of a highway bridge, the average permanent load on the clay layer is expected to increase by about 95 kN/m3. The average effective overburden pressure at the middle of the clay layer is 190 kN/m3. Here, H is 4.5 m, Compression index is 0.26, e0 = 0.78, and coefficient of consolidation is 0.23 m2/month. The clay is normally consolidated. Determine the total primary consolidation settlement (in mm) and the ratio of pre-compression pressure to the effective stress of the bridge.a)0.11 and 0.40b)12 and 45c)0.12 and 0.50d)115 and 0.50Correct answer is option 'C'. Can you explain this answer? tests, examples and also practice GATE tests.
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